6533b7d4fe1ef96bd12628b4
RESEARCH PRODUCT
Domains of time-dependent density-potential mappings
Michael RuggenthalerMarkus Penzsubject
Statistics and ProbabilityWork (thermodynamics)Pure mathematicsClass (set theory)Atomic Physics (physics.atom-ph)General Physics and AstronomyFOS: Physical sciencesType (model theory)01 natural sciences010305 fluids & plasmasPhysics - Atomic Physics0103 physical sciencesUniqueness010306 general physicsMathematical PhysicsMathematicsCondensed Matter - Materials ScienceQuantum PhysicsMaterials Science (cond-mat.mtrl-sci)Statistical and Nonlinear PhysicsMathematical Physics (math-ph)Sobolev spaceModeling and SimulationDensity functional theoryElement (category theory)Quantum Physics (quant-ph)description
The key element in time-dependent density functional theory is the one-to-one correspondence between the one-particle density and the external potential. In most approaches this mapping is transformed into a certain type of Sturm-Liouville problem. Here we give conditions for existence and uniqueness of solutions and construct the weighted Sobolev space they lie in. As a result the class of v-representable densities is considerably widened with respect to previous work.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-03-10 |